The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin πt + 4 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)

(i) [1, 2]
(ii) [1, 1.1]
(iii) [1, 1.01]
(iv) [1, 1.001]

(b) Estimate the instantaneous velocity of the particle when t = 1.

Question

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin πt + 4 cos πt, where t is measured in seconds. (Round your answers to two decimal places.)

(i)    [1, 2]
(ii)    [1, 1.1]
(iii)    [1, 1.01]
(iv)    [1, 1.001]

(b) Estimate the instantaneous velocity of the particle when t = 1.

jdoe0001 · Answer

hmm looks to me you'd just need to set t=1 and solve for "s"